Results 21 to 30 of about 74 (72)

An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control‐state pairs under relaxed regularity assumptions.
Longxu Li, Huiting Lu, Stanislaw Migorski   +2 more
wiley   +1 more source

Existence Results for Generalized Bagley‐Torvik Type Fractional Differential Inclusions with Nonlocal Initial Conditions

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
In this article, we prove the existence of solutions for the generalized Bagley‐Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the nonlinear alternative for Kakutani maps fixed point theorem to obtain the existence results under ...
Lizhen Chen, Gang Li, Liguang Wang
wiley   +1 more source

Study of Nonlinear Second‐Order Differential Inclusion Driven by a Φ−Laplacian Operator Using the Lower and Upper Solutions Method

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we study a second‐order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Xiaolong Qin   +3 more
wiley   +1 more source

Aumann Fuzzy Improper Integral and Its Application to Solve Fuzzy Integro‐Differential Equations by Laplace Transform Method

Advances in Fuzzy Systems, Volume 2018, Issue 1, 2018., 2018
We introduce the Aumann fuzzy improper integral to define the convolution product of a fuzzy mapping and a crisp function in this paper. The Laplace convolution formula is proved in this case and used to solve fuzzy integro‐differential equations with kernel of convolution type.
Elhassan Eljaoui, Said Melliani, L. Saadia Chadli, Erich Peter Klement   +3 more
wiley   +1 more source

Approximate selections for upper semicontinuous convex valued multifunctions

Journal of Approximation Theory, 1983
Main result: Let \(\Gamma\) be a Hausdorff upper semicontinuous multifunction from a metric space X to the closed nonempty subsets of a normed linear space Y such that it maps isolated points of X to singletons and for each x in X, \(\Gamma\) (x) is a separable convex set.
openaire   +2 more sources

Existence Results of Random Impulsive Integrodifferential Inclusions with Time‐Varying Delays

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time‐varying delays under sufficient conditions. Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler.
Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, Feliz Minhos   +3 more
wiley   +1 more source

Random Fuzzy Differential Equations with Impulses

Complexity, Volume 2017, Issue 1, 2017., 2017
We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studied.
Ho Vu, Omar Abu Arqub
wiley   +1 more source

Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces

Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016
We prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping processes, with noncompact valued perturbations in Banach spaces. Indeed, we have two goals. The first is to give a technique that allows considering sweeping processes with noncompact valued perturbations and associated with ...
A. G. Ibrahim, F. Aladsani, Khalil Ezzinbi   +2 more
wiley   +1 more source

Viable solutions for second order nonconvex functional differential inclusions

Electronic Journal of Differential Equations, 2005
We prove the existence of viable solutions for an autonomous second-order functional differential inclusions in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the subdifferential of a ...
Vasile Lupulescu
doaj  

Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces

Electronic Journal of Differential Equations, 2007
This paper provide some applications of Pettis integration to differential inclusions in Banach spaces with three point boundary conditions of the form $$ ddot{u}(t) in F(t,u(t),dot u(t))+H(t,u(t),dot u(t)),quad hbox{a.e. } t in [0,1], $$ where $F$
Imen Boutana, Dalila Azzam-Laouir
doaj